DC Field
Value
Language
dc.contributor.author
de Vries, Christopher
-
dc.contributor.author
Lombardi, Nico
-
dc.contributor.author
Saorín Gómez, Eugenia
-
dc.date.accessioned
2023-09-02T09:06:45Z
-
dc.date.available
2023-09-02T09:06:45Z
-
dc.date.issued
2023-10-01
-
dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">de Vries, C., Lombardi, N., &#38; Saorín Gómez, E. (2023). On linearized versions of matrix inequalities. <i>Linear Algebra and Its Applications</i>, <i>674</i>, 21–45. https://doi.org/10.1016/j.laa.2023.05.020</div> </div>
-
dc.identifier.issn
0024-3795
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/188102
-
dc.description.abstract
In this note, we prove linear versions of the Aleksandrov-Fenchel inequality and the Brunn-Minkowski inequality for positive semidefinite matrices. With this aim, given a positive semidefinite matrix A and a linear subspace L, we consider a family of matrices having the same projection onto L, obtaining a linear version of the Aleksandrov-Fenchel inequality. In the case of the Brunn-Minkowski inequality, the milder assumption of having equal determinant of the projection of A onto L will be enough to obtain a linearized version of this inequality.
en
dc.language.iso
en
-
dc.publisher
ELSEVIER SCIENCE INC
-
dc.relation.ispartof
Linear Algebra and its Applications
-
dc.subject
positive semidefinite matrices
en
dc.subject
determinant
en
dc.subject
mixed discriminants
en
dc.subject
projection
en
dc.subject
canal class
en
dc.subject
linearized inequalities
en
dc.title
On linearized versions of matrix inequalities
en
dc.type
Article
en
dc.type
Artikel
de
dc.identifier.scopus
2-s2.0-85161332738
-
dc.identifier.url
https://api.elsevier.com/content/abstract/scopus_id/85161332738
-
dc.contributor.affiliation
University of Bremen, Germany
-
dc.contributor.affiliation
University of Bremen, Germany
-
dc.description.startpage
21
-
dc.description.endpage
45
-
dcterms.dateSubmitted
2022-07-29
-
dc.type.category
Original Research Article
-
tuw.container.volume
674
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
tuw.linking
https://www.sciencedirect.com/science/article/abs/pii/S0024379523002033?via%3Dihub
-
dcterms.isPartOf.title
Linear Algebra and its Applications
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
-
tuw.publisher.doi
10.1016/j.laa.2023.05.020
-
dc.date.onlinefirst
2023-05-26
-
dc.identifier.eissn
1873-1856
-
dc.description.numberOfPages
25
-
tuw.author.orcid
0000-0002-1986-9641
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.cerifentitytype
Publications
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.languageiso639-1
en
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.openairetype
research article
-
crisitem.author.dept
University of Bremen
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.dept
University of Bremen, Germany
-
crisitem.author.orcid
0000-0002-1986-9641
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
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